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Finding the Fourth Proportional to 316.29, 473.76 and 274.17

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Solution

The fourth proportional to 316.29, 473.76 and 274.17 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 473.76 = 274.17 : x
  2. Step 2: Convert to fraction form
    316.29/473.76 = 274.17/x
  3. Step 3: Cross multiply
    316.29x = 473.76 × 274.17
  4. Step 4: Simplify right side
    316.29x = 129,890.78
  5. Step 5: Solve for x
    x = 129,890.78/316.29
  6. Step 6: Final answer
    x = 410.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.